What is the Least Common Multiple of 83667 and 83681?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 83667 and 83681 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83667 and 83681, than apply into the LCM equation.

GCF(83667,83681) = 1
LCM(83667,83681) = ( 83667 × 83681) / 1
LCM(83667,83681) = 7001338227 / 1
LCM(83667,83681) = 7001338227

Least Common Multiple (LCM) of 83667 and 83681 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83667 and 83681. First we will calculate the prime factors of 83667 and 83681.

Prime Factorization of 83667

Prime Factorization of 83681

Now multiplying the highest exponent prime factors to calculate the LCM of 83667 and 83681.

LCM(83667,83681) = 3¹ × 167² × 13¹ × 41¹ × 157¹
LCM(83667,83681) = 7001338227